Search a number
-
+
3085670760 = 2335295471621
BaseRepresentation
bin1011011111101011…
…1001100101101000
321222001020022112020
42313322321211220
522304412431020
61230104344440
7136315524444
oct26772714550
97861208466
103085670760
111343865127
12721475120
133a237bab3
14213b47824
15130d67c40
hexb7eb9968

3085670760 has 128 divisors (see below), whose sum is σ = 9599644800. Its totient is φ = 792529920.

The previous prime is 3085670719. The next prime is 3085670767. The reversal of 3085670760 is 670765803.

It is not an unprimeable number, because it can be changed into a prime (3085670767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1902750 + ... + 1904370.

It is an arithmetic number, because the mean of its divisors is an integer number (74997225).

Almost surely, 23085670760 is an apocalyptic number.

3085670760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3085670760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799822400).

3085670760 is an abundant number, since it is smaller than the sum of its proper divisors (6513974040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3085670760 is a wasteful number, since it uses less digits than its factorization.

3085670760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 3085670760 is about 55548.8142087660. The cubic root of 3085670760 is about 1455.8496566678.

The spelling of 3085670760 in words is "three billion, eighty-five million, six hundred seventy thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 547 580 696 870 1094 1160 1621 1641 1740 2188 2735 3242 3282 3480 4376 4863 5470 6484 6564 8105 8205 9726 10940 12968 13128 15863 16210 16410 19452 21880 24315 31726 32420 32820 38904 47009 47589 48630 63452 64840 65640 79315 94018 95178 97260 126904 141027 158630 188036 190356 194520 235045 237945 282054 317260 376072 380712 470090 475890 564108 634520 705135 886687 940180 951780 1128216 1410270 1773374 1880360 1903560 2660061 2820540 3546748 4433435 5320122 5641080 7093496 8866870 10640244 13300305 17733740 21280488 25713923 26600610 35467480 51427846 53201220 77141769 102855692 106402440 128569615 154283538 205711384 257139230 308567076 385708845 514278460 617134152 771417690 1028556920 1542835380 3085670760